New results on stability theory of time-varying linear systems

Discrete linear time-varying (TV) systems have been playing an important role in many real-time signal processing and control systems. The stability criteria of these TV systems require information of the impulse response sequence of the state transition matrices in an infinite time interval which is often difficult to obtain in practice. This paper reports some results on this problem. We first presents sufficient conditions for exponential, l^p and l^p-BIBO stabilities. A detailed analysis is then given on this condition and the distribution domain of the instantaneous poles meeting the condition