A study is devoted to the delay robust stability for linear system with time delay, using matrix analysis and comparison theory on differential integral difference equations. Since the matrix norm used to derive...A study is devoted to the delay robust stability for linear system with time delay, using matrix analysis and comparison theory on differential integral difference equations. Since the matrix norm used to derive the results may be arbitrary consistent matrix norm, the obtained results possess some agility, and it makes quite convenient to check stability for linear systems with time delay. In particular, a sufficient and necessary condition for delay robust stability is obtained, and a formula to calculate the maximum delay for systems with stability is given. At the end, the results are used to analyze a flight control system (FCS). Comparison with some literature shows that the criteria in this paper are not only simple, but also of small conservativeness.展开更多
文摘A study is devoted to the delay robust stability for linear system with time delay, using matrix analysis and comparison theory on differential integral difference equations. Since the matrix norm used to derive the results may be arbitrary consistent matrix norm, the obtained results possess some agility, and it makes quite convenient to check stability for linear systems with time delay. In particular, a sufficient and necessary condition for delay robust stability is obtained, and a formula to calculate the maximum delay for systems with stability is given. At the end, the results are used to analyze a flight control system (FCS). Comparison with some literature shows that the criteria in this paper are not only simple, but also of small conservativeness.
