As one of secure communication means, chaotic communication systems has been well-developed during the past three decades. Technical papers, both for theoretical and practical investigations, have reached a huge amoun...As one of secure communication means, chaotic communication systems has been well-developed during the past three decades. Technical papers, both for theoretical and practical investigations, have reached a huge amount in number. On the other hand, fractional chaos, as a parallel ongoing research topic, also attracts many researchers to investigate. As far as the IT field is concerned, the research on control systems by using fractional chaos known as FOC （fractional order control） has been a hot issue for quite a long time. As a comparison, interesting enough, up to now we have not found any research result related to Fractional Chaos Communi- cation （FCC） system, i.e., a system based on fractional chaos. The motivation of the present article is to reveal the feasibility of realizing communication systems based upon FCC and their superiority over the conventional integer chaotic communication systems. Principles of FCC and its advantages over integer chaotic communication systems are also discussed.展开更多
Taking the well known (1-+l)-dimensional turbulence system,the Korteweg de-Vries Burgers equation,as a special example,we show that some types of lower-dimensional turbulence systems may be derived from some higherdim...Taking the well known (1-+l)-dimensional turbulence system,the Korteweg de-Vries Burgers equation,as a special example,we show that some types of lower-dimensional turbulence systems may be derived from some higherdimensional Lax integrable models,say,the (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov equation.On the other hand,using the Lax pair of the original higher-dimensional integrable model(s),we may obtain higher-dimensional Lax pair(s) for a lower-dimensional turbulence system.展开更多
The current paper deals with synchronization problem among chaotic nonlinear fractional order systems considering input saturation constraint.To develop the idea,at first a generalized sector condition and a memory-le...The current paper deals with synchronization problem among chaotic nonlinear fractional order systems considering input saturation constraint.To develop the idea,at first a generalized sector condition and a memory-less nonlinear function are employed to deal with the saturation problem.Then a new state feedback controller is designed to achieve synchronization in master-slave chaotic fractional order nonlinear systems with input saturation.Using the state feedback controller,the asymptotic stability of whole dynamic error model between master and slave is achieved.The stability of the closed-loop system is guaranteed using Lyapunov theory and sufficient stability conditions are formulated in terms of caputo fractional derivative of a quadratic Lyapunov function and Linear Matrix Inequalities(LMI).Finally,to verify the effectiveness of the proposed control scheme,some simulation results are employed to show the effectiveness of the proposed methodology.展开更多
The focus of this study is to understand and pave the way to build theory of System of Systems(SoS).The authors try to marshal the established thoughts and develop new insights to shed light on the topic.Although the ...The focus of this study is to understand and pave the way to build theory of System of Systems(SoS).The authors try to marshal the established thoughts and develop new insights to shed light on the topic.Although the research thrashes the proposed rudimentary concepts,yet they are important to caste clarity to lay the concrete foundation for the emerging concept of SoS.The first part of the paper discusses about the conceptual milieu of SoS.It tries to help resolve their identity crisis by proposing two edges of chaos.SoS and monolithic systems self-organize at two opposite edges.Then the research work defines SoS locus on extended system of systems methodology(E-SoSM) framework,and dissects it to decode its contradictory and aberrant behavior.Upon this understanding,the second part traces out the incapacitation of traditional military techniques for asymmetric warfare,typifying with a friendly fire incident of the current Afghan War.Seeing through this lens,conjures up that military SoS and anti SoS(enemy) fight to annihilate each other during the clashes of systems of systems in the theater of war.展开更多
文摘As one of secure communication means, chaotic communication systems has been well-developed during the past three decades. Technical papers, both for theoretical and practical investigations, have reached a huge amount in number. On the other hand, fractional chaos, as a parallel ongoing research topic, also attracts many researchers to investigate. As far as the IT field is concerned, the research on control systems by using fractional chaos known as FOC （fractional order control） has been a hot issue for quite a long time. As a comparison, interesting enough, up to now we have not found any research result related to Fractional Chaos Communi- cation （FCC） system, i.e., a system based on fractional chaos. The motivation of the present article is to reveal the feasibility of realizing communication systems based upon FCC and their superiority over the conventional integer chaotic communication systems. Principles of FCC and its advantages over integer chaotic communication systems are also discussed.
基金国家杰出青年科学基金，the Research Fund for the Doctoral Program of Higher Education of China，国家自然科学基金
文摘Taking the well known (1-+l)-dimensional turbulence system,the Korteweg de-Vries Burgers equation,as a special example,we show that some types of lower-dimensional turbulence systems may be derived from some higherdimensional Lax integrable models,say,the (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov equation.On the other hand,using the Lax pair of the original higher-dimensional integrable model(s),we may obtain higher-dimensional Lax pair(s) for a lower-dimensional turbulence system.
文摘The current paper deals with synchronization problem among chaotic nonlinear fractional order systems considering input saturation constraint.To develop the idea,at first a generalized sector condition and a memory-less nonlinear function are employed to deal with the saturation problem.Then a new state feedback controller is designed to achieve synchronization in master-slave chaotic fractional order nonlinear systems with input saturation.Using the state feedback controller,the asymptotic stability of whole dynamic error model between master and slave is achieved.The stability of the closed-loop system is guaranteed using Lyapunov theory and sufficient stability conditions are formulated in terms of caputo fractional derivative of a quadratic Lyapunov function and Linear Matrix Inequalities(LMI).Finally,to verify the effectiveness of the proposed control scheme,some simulation results are employed to show the effectiveness of the proposed methodology.
文摘The focus of this study is to understand and pave the way to build theory of System of Systems(SoS).The authors try to marshal the established thoughts and develop new insights to shed light on the topic.Although the research thrashes the proposed rudimentary concepts,yet they are important to caste clarity to lay the concrete foundation for the emerging concept of SoS.The first part of the paper discusses about the conceptual milieu of SoS.It tries to help resolve their identity crisis by proposing two edges of chaos.SoS and monolithic systems self-organize at two opposite edges.Then the research work defines SoS locus on extended system of systems methodology(E-SoSM) framework,and dissects it to decode its contradictory and aberrant behavior.Upon this understanding,the second part traces out the incapacitation of traditional military techniques for asymmetric warfare,typifying with a friendly fire incident of the current Afghan War.Seeing through this lens,conjures up that military SoS and anti SoS(enemy) fight to annihilate each other during the clashes of systems of systems in the theater of war.
