THE Chinese Government has given the impression that nobody is in control with Prime Minister Mr Li Peng in hospital and executive Vice-Premier Mr Zhu Rongji on a tour of Canada, Mexico and Brazil. Foreign ministry officials have been frantically trying to determine who among the remaining three vice-premiers would represent the Government during talks with visiting dignitaries this week. Israeli Foreign Minister Mr Shimon Peres arrives in Beijing tomorrow evening but the Chinese foreign ministry's protocol department is unlikely to have finalised his itinerary before tomorrow morning, a source said yesterday. Itineraries for visiting ministers are usually completed two to three days before their arrival. ''It's an absolute mess,'' the source said. Neither does the State Council appear to know who has taken over the day-to-day running of the Government in the absence of Mr Zhu, who did not get the designation of acting premier after Mr Li fell sick on April 24. When asked who was the current acting head of the Government, an official from the State Council information office said: ''I don't know.'' All three vice-premiers, Mr Zou Jiahua, Mr Qian Qichen and Mr Li Lanqing, met foreign guests in Beijing yesterday but none was described as acting premier. Western diplomats said because of his seniority, Mr Zou, a veteran economic planner, would be likely to be the cadre looking after domestic affairs. Upon arriving in Vancouver, Mr Zhu called on the Canadian business community to invest more in China. Lieutenant-Governor of British Columbia, Mr David Lam See-cha, said that there might be a ''knot'' in bilateral relations. ''Let's do our best to untie the knot because we are interdependent,'' Mr Zhu replied. He made no reference to Mr Li who is believed to be recuperating in a military hospital from a mild heart attack. Meanwhile, the State Council yesterday named senior officials for several ministries and units. Analysts said it was a measure of Mr Zhu's rising star that he was able to put his trusted aides in senior positions in the 'super-agency', the Economic and Trade Commission (ETC). Most of the five new vice-ministers named for the ETC - Mr Yang Changji, Mr Xu Penghang, Mr Shi Wanpeng, Mr Yu Xiaosong and Mr Chen Qingtai - are considered Zhu proteges. Mr Yang had worked with Mr Zhu in the clearing up of ''triangular debts'' owed by state enterprises to each other. Mr Yu, formerly an asistant minister of foreign trade, is a radical reformer close to Mr Zhu. A former director of production controls at the State Planning Commission, Mr Shi was a deputy secretary-general of the Economic and Trade Office, the forerunner of the ETC.