An Integral Function Approach to the Exponential Stability of Linear Time-Varying Systems

作者：Yao Yu; Liu Kai^*; Sun Dengfeng; Balakrishnan Venkataramanan; Guo Jian

来源：International Journal of Control Automation and Systems, 2012, 10(6): 1096-1101.

DOI：10.1007/s12555-012-0603-2

• Bellman-Gronwall Lemma
• exponential stability
• integral function
• linear time-varying systems

This paper studies the exponential stability of linear time-varying (LTV) systems using the recent proposed integral function. By showing the properties of the integral function and applying the Bellman-Gronwall Lemma, a sufficient and necessary condition for the exponential stability of LTV systems is derived. Furthermore, the exponential decay rate of the system trajectories can be obtained by computing the radii of convergence of integral function. The algorithm for computing the integral function is also developed and two classical examples are given to illustrate the proposed approach.

• 出版日期2012-12
• 单位哈尔滨工业大学